I'm sure you could get any of them to work, but it would make sense if you want deer to stick with the 44 especially if you don't plan on reloading. The limiting factor will likely be the sights and how well you can use irons.
My 24" 357 Puma has buckhorn sights and they really bother me. I'm so used to lining up the front sight with the top of the rear that I'm probably going to get a different rear sight, maybe a marbles tang, (or is it lyman?).
The way I'm using mine right now I wouldn't want to shoot at a deer at more than 75 yards and 50 would make me much happier. This isn't even taking bullet performance into account, just the ability to hit an 8.5" x 11" piece of paper. I might feel different after loading up some special rifle rounds with a little more juice.
http://www.huntingnet.com/forum/guns/41754-rossi-357-magnum-close-range-deer.html
http://50caliberforum.proboards.com/index.cgi?board=thewinchester1892forum&action=display&thread=2067